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Mathematics·Algebra·procedural

Collecting Like Terms

Simplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining equivalence

Suggested ages 11–12

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Evidence of understanding

  • Identify like terms in an algebraic expression
  • Combine like terms involving positive and negative coefficients
  • Simplify expressions involving multiple variables and constant terms

Assessment prompt

If Collecting Like Terms sees an expression like "5a + 3b + 2a," can they simplify it by collecting the like terms to get "7a + 3b"?

Standards alignment

6.EE.3US · ccss-math

Apply Properties of Operations

Common Core State Standards for Mathematics · 6

6.EE.4US · ccss-math

Identify Equivalent Expressions

Common Core State Standards for Mathematics · 6

KS3.Maths.Alg.4aGB · uk-nc-2013

Simplify Expressions: Collecting Like Terms

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3